Falkner and Boettcher, Appendix B, 1

Time bar (total: 14.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze704.0ms (4.8%)

Memory
17.9MiB live, 432.3MiB allocated; 954ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
0%0%100%0%0%0%0%4
0%0%100%0%0%0%0%5
0%0%100%0%0%0%0%6
0%0%100%0%0%0%0%7
0%0%100%0%0%0%0%8
0%0%100%0%0%0%0%9
0%0%100%0%0%0%0%10
0%0%100%0%0%0%0%11
0%0%100%0%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample3.7s (25.7%)

Memory
151.2MiB live, 4 356.7MiB allocated; 671ms collecting garbage
Samples
1.3s3 766×3valid
635.0ms8 286×0invalid
547.0ms2 129×2valid
388.0ms2 200×1valid
77.0ms161×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-acos: 584.0ms (25.6% of total)
adjust: 568.0ms (24.9% of total)
ival-mult: 460.0ms (20.1% of total)
ival-sub: 354.0ms (15.5% of total)
ival-div: 293.0ms (12.8% of total)
exact: 20.0ms (0.9% of total)
ival-assert: 6.0ms (0.3% of total)
Bogosity

explain271.0ms (1.9%)

Memory
-1.6MiB live, 280.6MiB allocated; 79ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
7248(-3.3114807822188513e-299)0-(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
00-0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
00-0-#s(literal 1 binary64)
00-0-(*.f64 v v)
00-0-#s(literal 5 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
00-0-v
00-0-(-.f64 (*.f64 v v) #s(literal 1 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
acos.f64(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))sensitivity2551
Confusion
Predicted +Predicted -
+71
-2480
Precision
0.027450980392156862
Recall
0.875
Confusion?
Predicted +Predicted MaybePredicted -
+710
-24800
Precision?
0.03125
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
80.0ms248×3valid
35.0ms120×2valid
28.0ms138×1valid
0.0ms0valid
Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
adjust: 35.0ms (31.6% of total)
ival-acos: 27.0ms (24.4% of total)
ival-mult: 20.0ms (18.1% of total)
ival-sub: 16.0ms (14.4% of total)
ival-div: 12.0ms (10.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess167.0ms (1.1%)

Memory
-6.4MiB live, 139.1MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01743
15343
217743
371443
4304343
0914
01514
13414
211114
359414
4261414
0839714
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Symmetry

(abs v)

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
9 → 20
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))
Outputs
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- (* v v) 1) #s(hole binary64 -1))
#s(approx (- (* v v) 1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (- (* v v) 1) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) 1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
v
@inf
((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (- (* v v) 1))
1.0ms
v
@-inf
((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (- (* v v) 1))
1.0ms
v
@0
((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (- (* v v) 1))

rewrite131.0ms (0.9%)

Memory
2.8MiB live, 93.7MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071406
082391
1364388
02896388
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
29 → 110
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- (* v v) 1) #s(hole binary64 -1))
#s(approx (- (* v v) 1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (- (* v v) 1) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) 1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 v v) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v) (-.f64 v #s(literal 1 binary64))) (/.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v) (-.f64 v #s(literal 1 binary64)))) (*.f64 (*.f64 (ratio-square-sum.f64 v #s(literal 1 binary64)) (/.f64 #s(literal 5 binary64) (-.f64 v #s(literal 1 binary64)))) (*.f64 (ratio-square-sum.f64 v #s(literal 1 binary64)) (/.f64 #s(literal 5 binary64) (-.f64 v #s(literal 1 binary64)))))) (+.f64 (/.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v) (-.f64 v #s(literal 1 binary64))) (*.f64 (ratio-square-sum.f64 v #s(literal 1 binary64)) (/.f64 #s(literal 5 binary64) (-.f64 v #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v) (-.f64 v #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (ratio-square-sum.f64 v #s(literal 1 binary64)) (/.f64 #s(literal 5 binary64) (-.f64 v #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v) (-.f64 v #s(literal 1 binary64))) (/.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v) (-.f64 v #s(literal 1 binary64)))) (+.f64 (*.f64 (*.f64 (ratio-square-sum.f64 v #s(literal 1 binary64)) (/.f64 #s(literal 5 binary64) (-.f64 v #s(literal 1 binary64)))) (*.f64 (ratio-square-sum.f64 v #s(literal 1 binary64)) (/.f64 #s(literal 5 binary64) (-.f64 v #s(literal 1 binary64))))) (*.f64 (/.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v) (-.f64 v #s(literal 1 binary64))) (*.f64 (ratio-square-sum.f64 v #s(literal 1 binary64)) (/.f64 #s(literal 5 binary64) (-.f64 v #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v))) (neg.f64 (neg.f64 (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 v #s(literal 5 binary64)) v))) (*.f64 (-.f64 (*.f64 v v) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v)) (neg.f64 (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (neg.f64 (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (/.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v) (-.f64 v #s(literal 1 binary64))) (*.f64 (ratio-square-sum.f64 v #s(literal 1 binary64)) (/.f64 #s(literal 5 binary64) (-.f64 v #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (/.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v) (-.f64 v #s(literal 1 binary64))))
(+.f64 (/.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v) (-.f64 v #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))))
(/.f64 (+.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))
(/.f64 (+.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal -5 binary64) (*.f64 v v))))
(-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v)) (ratio-square-sum.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) #s(literal 1 binary64)))
(-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 125 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))
(-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 v) v) #s(literal -5 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v))
(+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))
(+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 v #s(literal 5 binary64))) v))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 v) v) #s(literal 5 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 5 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 #s(literal 5 binary64) (fabs.f64 v)) (fabs.f64 v))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 5 binary64))) v)
(*.f64 (*.f64 v #s(literal 5 binary64)) v)
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 5 binary64)))
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 5 binary64)))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(*.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) #s(literal 1 binary64))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)))
#s(literal 5 binary64)
(*.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 v #s(literal 1 binary64)) (*.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 v (*.f64 v #s(literal 1 binary64)))
(*.f64 v v)
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (+.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))))
v
(*.f64 (+.f64 (neg.f64 v) #s(literal 1 binary64)) (-.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 v) #s(literal 1 binary64)) (-.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))
(*.f64 (-.f64 v #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 v v) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
(-.f64 (ratio-square-sum.f64 (*.f64 v v) #s(literal 1 binary64)) (ratio-square-sum.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(+.f64 (*.f64 v v) #s(literal -1 binary64))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) (-.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 (+.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64))
#s(approx (- 1 (* 5 (* v v))) (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
#s(approx (* 5 (* v v)) (*.f64 (*.f64 v #s(literal 5 binary64)) v))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (- (* v v) 1) #s(literal -1 binary64))
#s(approx (- (* v v) 1) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64))) #s(literal -5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64))) #s(literal -4 binary64)) v) v) #s(literal 5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64))) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 5 binary64))))
#s(approx (- 1 (* 5 (* v v))) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
#s(approx (- 1 (* 5 (* v v))) (*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) v) v))
#s(approx (- (* v v) 1) (*.f64 v v))
#s(approx (- (* v v) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -2 binary64))) v) v))

eval133.0ms (0.9%)

Memory
-24.0MiB live, 206.3MiB allocated; 41ms collecting garbage
Samples
84.0ms1 792×0valid
Compiler

Compiled 2 863 to 598 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 11.0ms (34.6% of total)
ival-div: 10.0ms (31.5% of total)
ival-add: 9.0ms (28.3% of total)
ival-true: 1.0ms (3.1% of total)
adjust: 1.0ms (3.1% of total)
ival-assert: 1.0ms (3.1% of total)

prune8.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1395144
Fresh000
Picked011
Done000
Total1396145
Accuracy
99.5%
Counts
145 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
98.7%
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))
99.5%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.7%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))))
99.3%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
98.7%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 266 to 145 computations (45.5% saved)

series21.0ms (0.1%)

Memory
-17.6MiB live, 27.0MiB allocated; 10ms collecting garbage
Counts
36 → 93
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))
(-.f64 v #s(literal 1 binary64))
(-.f64 v #s(literal -1 binary64))
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 v #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
#s(literal -5 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
(asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
Outputs
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- (* 4 (* v v)) 1) #s(hole binary64 -1))
#s(approx (- (* 4 (* v v)) 1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (* 4 (* v v)) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1)))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 -1))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* (- v 1) (- v -1)) #s(hole binary64 -1))
#s(approx (* (- v 1) (- v -1)) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (- v 1) #s(hole binary64 -1))
#s(approx (- v 1) #s(hole binary64 (- v 1)))
#s(approx (- v -1) #s(hole binary64 1))
#s(approx (- v -1) #s(hole binary64 (+ 1 v)))
#s(approx (acos (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 -1))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 1))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (+ 1 (* -1 v))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (+ 1 (* v (- (* -4 v) 1)))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (+ 1 (* v (- (* v (- (* 4 v) 4)) 1)))))
#s(approx (- (* -5 (* v v)) -1) #s(hole binary64 1))
#s(approx (- (* -5 (* v v)) -1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* -5 (* v v)) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- (* v v) 1) #s(hole binary64 -1))
#s(approx (- (* v v) 1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) #s(hole binary64 (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (- (* 4 (* v v)) 1) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (- (* 4 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 -5))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (* (- v 1) (- v -1)) #s(hole binary64 (pow v 2)))
#s(approx (* (- v 1) (- v -1)) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (- v 1) #s(hole binary64 v))
#s(approx (- v 1) #s(hole binary64 (* v (- 1 (/ 1 v)))))
#s(approx (- v -1) #s(hole binary64 v))
#s(approx (- v -1) #s(hole binary64 (* v (+ 1 (/ 1 v)))))
#s(approx (acos (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 -5))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* -5 v)))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* v (- (* 5 (/ 1 v)) 5))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* v (- (* 5 (/ 1 v)) (+ 5 (/ 4 (pow v 2)))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* v (- (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3)))) (+ 5 (/ 4 (pow v 2)))))))
#s(approx (- (* -5 (* v v)) -1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- (* -5 (* v v)) -1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 -5))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (- (* v v) 1) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) 1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) #s(hole binary64 (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1)))) #s(hole binary64 (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))))
#s(approx (- v 1) #s(hole binary64 (* -1 (* v (- (/ 1 v) 1)))))
#s(approx (acos (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) #s(hole binary64 (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* -1 (* v (- 5 (* 5 (/ 1 v)))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* -1 (* v (+ 5 (* -1 (/ (- 5 (* 4 (/ 1 v))) v)))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* -1 (* v (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 4 (* 4 (/ 1 v))) v))) v)))))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
v
@-inf
((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (* 4 (* v v)) 1) (* 4 (* v v)) 4 (* v v) v 1 (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) -1 (acos (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1)))) (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) (- 1 (* 5 (* v v))) (* 5 (* v v)) 5 (* (- v 1) (- v -1)) (- v 1) (- v -1) (acos (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (/ (- (* -5 (* v v)) -1) (- v -1)) (- (* -5 (* v v)) -1) (* -5 (* v v)) -5 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) (- (* v v) 1) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))))
4.0ms
v
@inf
((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (* 4 (* v v)) 1) (* 4 (* v v)) 4 (* v v) v 1 (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) -1 (acos (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1)))) (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) (- 1 (* 5 (* v v))) (* 5 (* v v)) 5 (* (- v 1) (- v -1)) (- v 1) (- v -1) (acos (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (/ (- (* -5 (* v v)) -1) (- v -1)) (- (* -5 (* v v)) -1) (* -5 (* v v)) -5 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) (- (* v v) 1) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))))
4.0ms
v
@0
((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (* 4 (* v v)) 1) (* 4 (* v v)) 4 (* v v) v 1 (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) -1 (acos (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1)))) (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) (- 1 (* 5 (* v v))) (* 5 (* v v)) 5 (* (- v 1) (- v -1)) (- v 1) (- v -1) (acos (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (/ (- (* -5 (* v v)) -1) (- v -1)) (- (* -5 (* v v)) -1) (* -5 (* v v)) -5 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) (- (* v v) 1) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))))

rewrite435.0ms (3%)

Memory
-24.4MiB live, 179.8MiB allocated; 681ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02712628
03202340
112462238
087462230
Stop Event
iter limit
node limit
iter limit
Counts
129 → 637
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))
(-.f64 v #s(literal 1 binary64))
(-.f64 v #s(literal -1 binary64))
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 v #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
#s(literal -5 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
(asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- (* 4 (* v v)) 1) #s(hole binary64 -1))
#s(approx (- (* 4 (* v v)) 1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (* 4 (* v v)) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1)))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 -1))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* (- v 1) (- v -1)) #s(hole binary64 -1))
#s(approx (* (- v 1) (- v -1)) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (- v 1) #s(hole binary64 -1))
#s(approx (- v 1) #s(hole binary64 (- v 1)))
#s(approx (- v -1) #s(hole binary64 1))
#s(approx (- v -1) #s(hole binary64 (+ 1 v)))
#s(approx (acos (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 -1))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 1))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (+ 1 (* -1 v))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (+ 1 (* v (- (* -4 v) 1)))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (+ 1 (* v (- (* v (- (* 4 v) 4)) 1)))))
#s(approx (- (* -5 (* v v)) -1) #s(hole binary64 1))
#s(approx (- (* -5 (* v v)) -1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* -5 (* v v)) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- (* v v) 1) #s(hole binary64 -1))
#s(approx (- (* v v) 1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) #s(hole binary64 (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (- (* 4 (* v v)) 1) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (- (* 4 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 -5))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1))) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (* (- v 1) (- v -1)) #s(hole binary64 (pow v 2)))
#s(approx (* (- v 1) (- v -1)) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (- v 1) #s(hole binary64 v))
#s(approx (- v 1) #s(hole binary64 (* v (- 1 (/ 1 v)))))
#s(approx (- v -1) #s(hole binary64 v))
#s(approx (- v -1) #s(hole binary64 (* v (+ 1 (/ 1 v)))))
#s(approx (acos (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 -5))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* -5 v)))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* v (- (* 5 (/ 1 v)) 5))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* v (- (* 5 (/ 1 v)) (+ 5 (/ 4 (pow v 2)))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* v (- (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3)))) (+ 5 (/ 4 (pow v 2)))))))
#s(approx (- (* -5 (* v v)) -1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- (* -5 (* v v)) -1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 -5))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (- (* v v) 1) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) 1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) #s(hole binary64 (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (* (- v 1) (- v -1)))) #s(hole binary64 (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))))
#s(approx (- v 1) #s(hole binary64 (* -1 (* v (- (/ 1 v) 1)))))
#s(approx (acos (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) #s(hole binary64 (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* -1 (* v (- 5 (* 5 (/ 1 v)))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* -1 (* v (+ 5 (* -1 (/ (- 5 (* 4 (/ 1 v))) v)))))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) #s(hole binary64 (* -1 (* v (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 4 (* 4 (/ 1 v))) v))) v)))))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(-.f64 (ratio-square-sum.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
(-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 v)) (fabs.f64 v))
(*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (fabs.f64 v) #s(literal 2 binary64)) (*.f64 (fabs.f64 v) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 v)) (*.f64 #s(literal 2 binary64) (fabs.f64 v)))
(*.f64 (*.f64 (neg.f64 v) #s(literal 2 binary64)) (*.f64 (neg.f64 v) #s(literal 2 binary64)))
(*.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 v #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 v)) (*.f64 #s(literal 2 binary64) (neg.f64 v)))
(*.f64 (*.f64 #s(literal 2 binary64) v) (*.f64 #s(literal 2 binary64) v))
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 4 binary64)))
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) v) v)
(*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v v)))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(/.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (fabs.f64 v) #s(literal -1 binary64)) (*.f64 (fabs.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (*.f64 (neg.f64 v) v) #s(literal -1 binary64))
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) v))
(*.f64 v v)
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 v v) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (+.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))))
v
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(literal -1 binary64))) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(literal -1 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(literal -1 binary64))) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(literal -1 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(literal -1 binary64)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (+.f64 (*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
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#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))
#s(approx (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))
#s(approx (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(literal -5 binary64))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -5 binary64)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (/.f64 (+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64)) (*.f64 v v)) #s(literal 5 binary64)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (/.f64 (+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -5 binary64))))
#s(approx (- (* v v) 1) (*.f64 v v))
#s(approx (- (* v v) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -2 binary64))) v) v))
#s(approx (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) (-.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
#s(approx (- v 1) (*.f64 (neg.f64 v) (-.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) (*.f64 (neg.f64 v) (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 5 binary64) v))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) (*.f64 (neg.f64 v) (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) v)) v))))
#s(approx (/ (- (* -5 (* v v)) -1) (- v -1)) (*.f64 (neg.f64 v) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) v)) v) #s(literal -5 binary64)) v) #s(literal -5 binary64))))

eval344.0ms (2.4%)

Memory
2.1MiB live, 509.0MiB allocated; 95ms collecting garbage
Samples
145.0ms3 347×0valid
39.0ms1 004×0invalid
0.0ms1valid
Compiler

Compiled 34 476 to 3 067 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 29.0ms (35.3% of total)
ival-add: 25.0ms (30.5% of total)
ival-div: 23.0ms (28% of total)
ival-true: 3.0ms (3.7% of total)
ival-assert: 2.0ms (2.4% of total)
adjust: 1.0ms (1.2% of total)

prune107.0ms (0.7%)

Memory
14.9MiB live, 204.7MiB allocated; 20ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New8296835
Fresh000
Picked235
Done011
Total83110841
Accuracy
99.6%
Counts
841 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
1.7%
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64))) (acos.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (-.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
1.6%
(/.f64 (-.f64 (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
1.6%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
99.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))))
99.5%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.7%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))))
99.4%
(acos.f64 (*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) v))))
99.3%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
98.7%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Samples
42.0ms1 004×0invalid
23.0ms532×0valid
Compiler

Compiled 862 to 359 computations (58.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 14.0ms (46.9% of total)
ival-add: 8.0ms (26.8% of total)
ival-div: 6.0ms (20.1% of total)
ival-true: 1.0ms (3.3% of total)
ival-assert: 1.0ms (3.3% of total)
adjust: 0.0ms (0% of total)

series77.0ms (0.5%)

Memory
-24.7MiB live, 87.6MiB allocated; 54ms collecting garbage
Counts
54 → 151
Calls
Call 1
Inputs
(acos.f64 (*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) v)))
(neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v))
(ratio-square-sum.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
v
(/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) v))
(-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(*.f64 v v)
#s(literal -5 binary64)
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) v)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
(asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
(ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
(*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
Outputs
#s(approx (acos (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v)))) #s(hole binary64 (acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- 1 v)))))))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 -1))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 -1))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 (- v 1)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 (- (* v (+ 1 (* -1 v))) 1)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 (- (* v (+ 1 (* v (- v 1)))) 1)))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 1))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 (+ 1 (* -1 v))))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 (+ 1 (* v (- v 1)))))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 (+ 1 (* v (- (* v (+ 1 (* -1 v))) 1)))))
#s(approx v #s(hole binary64 v))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 1))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 (+ 1 v)))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 (+ 1 (* v (+ 1 (* -4 v))))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 (+ 1 (* v (+ 1 (* v (- (* -4 v) 4)))))))
#s(approx (- (* (* v v) -5) -1) #s(hole binary64 1))
#s(approx (- (* (* v v) -5) -1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* (* v v) -5) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (- 1 v) #s(hole binary64 1))
#s(approx (- 1 v) #s(hole binary64 (+ 1 (* -1 v))))
#s(approx (- (/ (PI) 2) (asin (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1)))))))
#s(approx (asin (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 -1))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- (* (* v v) 4) 1) #s(hole binary64 -1))
#s(approx (- (* (* v v) 4) 1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (* (* v v) 4) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2))))
#s(approx (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2)))
#s(approx (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 1))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* -4 (pow v 2)))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) #s(hole binary64 (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- (* -5 (* v v)) -1) #s(hole binary64 1))
#s(approx (- (* -5 (* v v)) -1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* -5 (* v v)) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- (* v v) 1) #s(hole binary64 -1))
#s(approx (- (* v v) 1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (/ (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2))))))
#s(approx (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2))) #s(hole binary64 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2)))))
#s(approx (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) #s(hole binary64 (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))))
#s(approx (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)))
#s(approx (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* (* v v) -5) -1) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- (* (* v v) -5) -1) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- (* (* v v) -5) -1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- (* (* v v) -5) -1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2))))
#s(approx (/ (- (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) (+ (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) #s(hole binary64 (/ (- (* 1/16 (/ (pow (PI) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))) (+ (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (- (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) #s(hole binary64 (- (* 1/16 (/ (pow (PI) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2)))))
#s(approx (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) #s(hole binary64 (* 1/16 (/ (pow (PI) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2)))))
#s(approx (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2)))) #s(hole binary64 (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))))
#s(approx (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) #s(hole binary64 (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (+ (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (acos (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v)))) #s(hole binary64 (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- 1 v)))))))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 -5))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 (/ -1 v)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 (/ (- (/ 1 v) 1) v)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 (/ (- (/ 1 v) (+ 1 (/ 1 (pow v 2)))) v)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 (/ (- (+ (/ 1 v) (/ 1 (pow v 3))) (+ 1 (/ 1 (pow v 2)))) v)))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 (/ 1 v)))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 (/ (- 1 (/ 1 v)) v)))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow v 2))) (/ 1 v)) v)))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow v 2))) (+ (/ 1 v) (/ 1 (pow v 3)))) v)))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 (* 5 v)))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 (* v (+ 5 (* 5 (/ 1 v))))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 (* v (+ 5 (+ (* 5 (/ 1 v)) (/ 4 (pow v 2)))))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 (* v (+ 5 (+ (* 5 (/ 1 v)) (+ (* 4 (/ 1 (pow v 3))) (/ 4 (pow v 2))))))))
#s(approx (- (* (* v v) -5) -1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- (* (* v v) -5) -1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (- 1 v) #s(hole binary64 (* -1 v)))
#s(approx (- 1 v) #s(hole binary64 (* v (- (/ 1 v) 1))))
#s(approx (- (/ (PI) 2) (asin (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1)))))))
#s(approx (asin (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 -5))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (- (* (* v v) 4) 1) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (- (* (* v v) 4) 1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))))
#s(approx (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2)))
#s(approx (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 5))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 (+ 5 (* 4 (/ 1 (pow v 2))))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) #s(hole binary64 (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) #s(hole binary64 -5))
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Calls

3 calls:

TimeVariablePointExpression
39.0ms
v
@0
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18.0ms
v
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13.0ms
v
@-inf
((acos (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v)))) (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (neg (/ (* 1 1) (+ 1 v))) (/ (* 1 1) (+ 1 v)) 1 v (/ (- (* (* v v) -5) -1) (- 1 v)) (- (* (* v v) -5) -1) (* (* v v) -5) (* v v) -5 -1 (- 1 v) (- (/ (PI) 2) (asin (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)))) (/ (PI) 2) (PI) 2 (asin (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (- (* (* v v) 4) 1) (* (* v v) 4) 4 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) 1/4 (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2) (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) (/ (- (* (* v v) -5) -1) (- 1 (* v v))) (- 1 (* v v)) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1)))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) (- (* -5 (* v v)) -1) (* -5 (* v v)) (- (* v v) 1) (/ (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2))) (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (- (* (* v v) -5) -1) (- (* v v) 1)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2)) (pow (/ (PI) 2) 2) (/ (- (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) (+ (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) (- (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2)))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (+ (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2)))))

rewrite273.0ms (1.9%)

Memory
27.3MiB live, 257.5MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04816136
05875571
124965398
092985314
Stop Event
iter limit
node limit
iter limit
Counts
205 → 598
Calls
Call 1
Inputs
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(neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v))
(ratio-square-sum.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
v
(/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) v))
(-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(*.f64 v v)
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(-.f64 #s(literal 1 binary64) v)
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(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
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(*.f64 (*.f64 v v) #s(literal 4 binary64))
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#s(approx (- (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) #s(hole binary64 (- (* 1/16 (/ (pow (PI) 4) (pow (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (pow (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2)))))
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#s(approx (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) #s(hole binary64 (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (+ (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
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#s(approx (- 1 v) #s(hole binary64 (* -1 (* v (- 1 (/ 1 v))))))
#s(approx (- (/ (PI) 2) (asin (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))))))
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Outputs
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(ratio-square-sum.f64 #s(literal 1 binary64) v)
(exp.f64 (*.f64 (log.f64 (+.f64 v #s(literal 1 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
v
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(-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)))
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#s(literal -5 binary64)
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#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) (-.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v))) #s(literal 5 binary64)))
#s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) (-.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 5 binary64))))
#s(approx (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2)) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (/ (- (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) (+ (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (pow.f64 (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
#s(approx (- (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (pow.f64 (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))))
#s(approx (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) (*.f64 (ratio-of-squares.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 1/16 binary64)))
#s(approx (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2)))) (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))
#s(approx (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (ratio-square-sum.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2)))) (/.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (acos (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v)))) (acos.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
#s(approx (neg (/ (* 1 1) (+ 1 v))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1 binary64))) v)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1 binary64))) v)) #s(literal 1 binary64)) v)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1 binary64))) v)) #s(literal 1 binary64)) v)) #s(literal 1 binary64)) v)))
#s(approx (/ (* 1 1) (+ 1 v)) (neg.f64 (/.f64 (-.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal 1 binary64)) v)))
#s(approx (/ (* 1 1) (+ 1 v)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal 1 binary64)) v)) #s(literal 1 binary64)) v)))
#s(approx (/ (* 1 1) (+ 1 v)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal 1 binary64)) v)) #s(literal 1 binary64)) v)) #s(literal 1 binary64)) v)))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (*.f64 (neg.f64 v) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) v) #s(literal 5 binary64)) v)) #s(literal 5 binary64))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (*.f64 (neg.f64 v) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) v) #s(literal 5 binary64)) (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64))) v)) #s(literal 5 binary64))))
#s(approx (- 1 v) (*.f64 (neg.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1 binary64)))))
#s(approx (- (/ (PI) 2) (asin (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
#s(approx (asin (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1))) (asin.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))

eval3.0s (20.8%)

Memory
81.9MiB live, 4 070.0MiB allocated; 916ms collecting garbage
Samples
1.7s39 092×0invalid
349.0ms4 170×0valid
0.0ms1valid
Compiler

Compiled 147 021 to 5 529 computations (96.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 887.0ms
ival-mult: 424.0ms (47.8% of total)
ival-add: 208.0ms (23.5% of total)
ival-div: 204.0ms (23% of total)
ival-true: 24.0ms (2.7% of total)
ival-assert: 17.0ms (1.9% of total)
adjust: 11.0ms (1.2% of total)

prune199.0ms (1.4%)

Memory
-12.4MiB live, 324.1MiB allocated; 76ms collecting garbage
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1 59471 601
Fresh011
Picked505
Done044
Total1 599121 611
Accuracy
99.6%
Counts
1 611 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.7%
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64))) (acos.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (-.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
1.6%
(/.f64 (-.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
1.6%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
1.6%
(/.f64 (-.f64 (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
1.2%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))))
99.5%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.7%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))))
98.5%
(acos.f64 (*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
99.3%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
98.7%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
99.5%
(acos.f64 #s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))))
1.6%
#s(approx (/ (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
Samples
100.0ms2 008×0invalid
21.0ms552×0valid
Compiler

Compiled 1 644 to 539 computations (67.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 18.0ms (36.6% of total)
ival-div: 17.0ms (34.6% of total)
ival-add: 11.0ms (22.4% of total)
ival-true: 1.0ms (2% of total)
adjust: 1.0ms (2% of total)
ival-assert: 1.0ms (2% of total)

series196.0ms (1.3%)

Memory
18.5MiB live, 207.8MiB allocated; 32ms collecting garbage
Counts
76 → 183
Calls
Call 1
Inputs
(acos.f64 #s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64)))
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(*.f64 v v)
v
#s(literal 4 binary64)
#s(literal 1 binary64)
(acos.f64 (*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64))))
(neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v))
(ratio-square-sum.f64 #s(literal 1 binary64) v)
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))
(+.f64 v #s(literal 1 binary64))
#s(approx (/ (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 1/16 binary64)
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
#s(literal -5 binary64)
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
#s(literal -1/2 binary64)
(+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 2 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
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(pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64))
(-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))
Outputs
#s(approx (acos (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v)))) #s(hole binary64 (acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- 1 v)))))))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 -1))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- (* (+ (* (* v v) 4) 4) (* v v)) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* (* v v) 4) 4) (* v v)) 1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (- (* (+ (* (* v v) 4) 4) (* v v)) 1) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (* (+ (* (* v v) 4) 4) (* v v)) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (* (+ (* (* v v) 4) 4) (* v v)) #s(hole binary64 (* (pow v 2) (+ 4 (* 4 (pow v 2))))))
#s(approx (+ (* (* v v) 4) 4) #s(hole binary64 4))
#s(approx (+ (* (* v v) 4) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (* (* v v) 4) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 -1))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 (- v 1)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 (- (* v (+ 1 (* -1 v))) 1)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) #s(hole binary64 (- (* v (+ 1 (* v (- v 1)))) 1)))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 1))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 (+ 1 (* -1 v))))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 (+ 1 (* v (- v 1)))))
#s(approx (/ (* 1 1) (+ 1 v)) #s(hole binary64 (+ 1 (* v (- (* v (+ 1 (* -1 v))) 1)))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 1))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 (+ 1 v)))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 (+ 1 (* v (+ 1 (* -4 v))))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) #s(hole binary64 (+ 1 (* v (+ 1 (* v (- (* -4 v) 4)))))))
#s(approx (+ v 1) #s(hole binary64 1))
#s(approx (+ v 1) #s(hole binary64 (+ 1 v)))
#s(approx (/ (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) #s(hole binary64 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2))))))
#s(approx (/ (/ (- (* (pow (PI) 4) 1/16) (pow (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) 4)) (- (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (* -1/2 (PI)))) (+ (pow (asin (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))) 2) (* 1/4 (* (PI) (PI))))) #s(hole binary64 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2)) (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* -1/2 (PI)))))))
#s(approx (/ (- (* (pow (PI) 4) 1/16) (pow (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) 4)) (- (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (* -1/2 (PI)))) #s(hole binary64 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* -1/2 (PI))))))
#s(approx (- (* (pow (PI) 4) 1/16) (pow (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) 4)) #s(hole binary64 (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))))
#s(approx (pow (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) 4) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)))
#s(approx (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v v) -5) 1) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* v v) -5) 1) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* v v) -5) 1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* v v) -5) 1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* (* v v) -5) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- (* v v) 1) #s(hole binary64 -1))
#s(approx (- (* v v) 1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (- (asin (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (* -1/2 (PI))) #s(hole binary64 (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* -1/2 (PI)))))
#s(approx (+ (pow (asin (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))) 2) (* 1/4 (* (PI) (PI)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2))))
#s(approx (pow (asin (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))) 2) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2)))
#s(approx (asin (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 1))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* -4 (pow v 2)))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (* (+ (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2) (pow (/ (PI) 2) 2)) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2)))) #s(hole binary64 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2))))))
#s(approx (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) #s(hole binary64 (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))))
#s(approx (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)))
#s(approx (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* (* v v) -5) -1) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- (* (* v v) -5) -1) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- (* (* v v) -5) -1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- (* (* v v) -5) -1) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- (* (* v v) -5) -1) #s(hole binary64 1))
#s(approx (- (* (* v v) -5) -1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* (+ (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2) (pow (/ (PI) 2) 2)) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) #s(hole binary64 (* (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2)))))
#s(approx (+ (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2))))
#s(approx (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))) 2)))
#s(approx (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 1))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* -4 (pow v 2)))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))))
#s(approx (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2)) #s(hole binary64 (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (/ (- (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) (+ (/ (pow (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) 3) (+ (pow (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) 2) (- (pow (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) 2) (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))))) (/ (pow (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) 3) (+ (pow (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) 2) (- (pow (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) 2) (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))))))) #s(hole binary64 (/ (- (* 1/16 (/ (pow (PI) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))) (+ (* 1/64 (/ (pow (PI) 6) (* (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 3) (- (+ (* 1/16 (/ (pow (PI) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))) (* 1/4 (/ (* (pow (PI) 2) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6) (* (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 3) (- (+ (* 1/16 (/ (pow (PI) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))) (* 1/4 (/ (* (pow (PI) 2) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))))))))))
#s(approx (- (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) (* (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) #s(hole binary64 (- (* 1/16 (/ (pow (PI) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2)))))
#s(approx (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))))) #s(hole binary64 (* 1/16 (/ (pow (PI) 4) (pow (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 2)))))
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Calls

3 calls:

TimeVariablePointExpression
90.0ms
v
@inf
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56.0ms
v
@-inf
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rewrite330.0ms (2.3%)

Memory
11.1MiB live, 433.3MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057911533
073110586
129739723
083819625
Stop Event
iter limit
node limit
iter limit
Counts
259 → 960
Calls
Call 1
Inputs
(acos.f64 #s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64)))
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(*.f64 v v)
v
#s(literal 4 binary64)
#s(literal 1 binary64)
(acos.f64 (*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64))))
(neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v))
(ratio-square-sum.f64 #s(literal 1 binary64) v)
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))
(+.f64 v #s(literal 1 binary64))
#s(approx (/ (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 1/16 binary64)
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
#s(literal -5 binary64)
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
#s(literal -1/2 binary64)
(+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 2 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
(-.f64 (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
(ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))
(*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(/.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
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#s(literal 3 binary64)
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#s(approx (+ (pow (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) 2) (- (pow (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) 2) (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2)))))) (-.f64 (/.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (ratio-of-squares.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 1/4 binary64))))
#s(approx (pow (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) 2) (*.f64 (ratio-of-squares.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 1/16 binary64)))
#s(approx (- (pow (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) 2) (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))) (/.f64 (-.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))))
#s(approx (pow (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) 2) (ratio-of-squares.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2)))) (*.f64 (ratio-of-squares.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 1/4 binary64)))
#s(approx (/ (pow (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) 3) (+ (pow (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) 2) (- (pow (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) 2) (* (/ (* (/ (PI) 2) (/ (PI) 2)) (+ (/ (PI) 2) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))))) (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))))))) (/.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 6 binary64)) (pow.f64 (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (ratio-of-squares.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 1/4 binary64)))))
#s(approx (pow (/ (* (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1)))) (+ (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) (/ (PI) 2))) 3) (/.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 6 binary64)) (pow.f64 (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))))
#s(approx (acos (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v)))) (acos.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
#s(approx (neg (/ (* 1 1) (+ 1 v))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1 binary64))) v)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1 binary64))) v)) #s(literal 1 binary64)) v)))
#s(approx (neg (/ (* 1 1) (+ 1 v))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1 binary64))) v)) #s(literal 1 binary64)) v)) #s(literal 1 binary64)) v)))
#s(approx (/ (* 1 1) (+ 1 v)) (neg.f64 (/.f64 (-.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal 1 binary64)) v)))
#s(approx (/ (* 1 1) (+ 1 v)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal 1 binary64)) v)) #s(literal 1 binary64)) v)))
#s(approx (/ (* 1 1) (+ 1 v)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal 1 binary64)) v)) #s(literal 1 binary64)) v)) #s(literal 1 binary64)) v)))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (*.f64 (neg.f64 v) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) v) #s(literal 5 binary64)) v)) #s(literal 5 binary64))))
#s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (*.f64 (neg.f64 v) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) v) #s(literal 5 binary64)) (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64))) v)) #s(literal 5 binary64))))

eval3.9s (26.5%)

Memory
-1.8MiB live, 4 963.3MiB allocated; 1.5s collecting garbage
Samples
2.3s45 911×0invalid
202.0ms4 776×0valid
0.0ms1valid
Compiler

Compiled 682 618 to 12 784 computations (98.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 740.0ms (61.8% of total)
ival-add: 243.0ms (20.3% of total)
ival-div: 152.0ms (12.7% of total)
ival-true: 29.0ms (2.4% of total)
ival-assert: 20.0ms (1.7% of total)
adjust: 13.0ms (1.1% of total)

prune340.0ms (2.3%)

Memory
-16.3MiB live, 463.6MiB allocated; 51ms collecting garbage
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New3 10863 114
Fresh033
Picked415
Done044
Total3 112143 126
Accuracy
99.6%
Counts
3 126 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.7%
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64))) (acos.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (-.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
1.6%
(/.f64 (-.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
1.6%
(/.f64 (-.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) v) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) v) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
1.6%
(/.f64 (-.f64 (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) v) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
1.2%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))))
99.5%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.7%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))))
98.5%
(acos.f64 (*.f64 #s(approx (neg (/ (* 1 1) (+ 1 v))) (-.f64 v #s(literal 1 binary64))) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
99.3%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
98.7%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
99.5%
(acos.f64 #s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))))
1.6%
#s(approx (/ (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (-.f64 (asin.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))))
1.6%
#s(approx (/ (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
1.7%
#s(approx (/ (/ (- (pow (/ (PI) 2) 4) (pow (asin (/ (- (* (* v v) -5) -1) (- (* v v) 1))) 4)) (+ (pow (/ (PI) 2) 2) (pow (asin (/ (- (* (* v v) -5) -1) (- 1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (-.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 (*.f64 (-.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)))) (*.f64 (*.f64 (-.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (-.f64 (pow.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
Samples
170.0ms3 263×0invalid
14.0ms321×0valid
Compiler

Compiled 3 772 to 676 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-div: 54.0ms (53.2% of total)
ival-mult: 26.0ms (25.6% of total)
ival-add: 18.0ms (17.7% of total)
ival-true: 2.0ms (2% of total)
adjust: 1.0ms (1% of total)
ival-assert: 1.0ms (1% of total)

regimes28.0ms (0.2%)

Memory
7.6MiB live, 53.5MiB allocated; 4ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 (*.f64 #s(approx (neg (/ (* 1 1) (+ 1 v))) (-.f64 v #s(literal 1 binary64))) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
(acos.f64 (*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(acos.f64 #s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))))
(acos.f64 (*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- (* -5 (* v v)) -1) (- (* v v) 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))) (asin (/ (- (* -5 (* v v)) -1) (- (* v v) 1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))))
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(/.f64 (-.f64 (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) (*.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) v) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (ratio-square-sum.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))))) (ratio-square-sum.f64 (asin.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Calls

4 calls:

8.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
6.0ms
v
5.0ms
(*.f64 v v)
5.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.5%1(*.f64 v v)
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.5%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.5%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes10.0ms (0.1%)

Memory
-28.4MiB live, 18.0MiB allocated; 3ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 (*.f64 #s(approx (neg (/ (* 1 1) (+ 1 v))) (-.f64 v #s(literal 1 binary64))) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
(acos.f64 (*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(acos.f64 #s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (/ (- (* -5 (* v v)) -1) (- v -1)) (- v 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))))
Outputs
(acos.f64 #s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))))
Calls

4 calls:

4.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.5%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.5%1(*.f64 v v)
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.5%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes6.0ms (0%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 (*.f64 #s(approx (neg (/ (* 1 1) (+ 1 v))) (-.f64 v #s(literal 1 binary64))) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
(acos.f64 (*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
Calls

4 calls:

2.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.3%1(*.f64 v v)
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.3%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.3%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes5.0ms (0%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-15.7%)

Threshold costs -0.1b (-15.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 (*.f64 #s(approx (neg (/ (* 1 1) (+ 1 v))) (-.f64 v #s(literal 1 binary64))) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
(acos.f64 (*.f64 (neg.f64 (ratio-square-sum.f64 #s(literal 1 binary64) v)) #s(approx (/ (- (* (* v v) -5) -1) (- 1 v)) (+.f64 v #s(literal 1 binary64)))))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Calls

4 calls:

1.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.7%1(*.f64 v v)
98.7%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.7%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.7%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify47.0ms (0.3%)

Memory
-5.9MiB live, 40.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03885
18985
227683
3131580
4550880
Stop Event
node limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 #s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 #s(approx (* (neg (/ (* 1 1) (+ 1 v))) (/ (- (* (* v v) -5) -1) (- 1 v))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

derivations80.0ms (0.5%)

Memory
-24.0MiB live, 74.9MiB allocated; 9ms collecting garbage
Stop Event
fuel
Compiler

Compiled 87 to 41 computations (52.9% saved)

preprocess21.0ms (0.1%)

Memory
37.1MiB live, 37.1MiB allocated; 0ms collecting garbage
Remove

(abs v)

Compiler

Compiled 258 to 136 computations (47.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...